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Relations and Functions
NCERT Exemplar Class 12
CBSE
Grade 12

Question:

The relation $R$ on $\mathbb{Z}$ defined by $a R b \iff a - b$ is an even integer is:
(a) An equivalence relation
(b) Reflexive and symmetric but not transitive
(c) Reflexive and transitive but not symmetric
(d) Not reflexive

Step-by-Step Solution

Reflexive, symmetric, transitive $\Rightarrow$ Equivalence relation. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting An equivalence relation: 1.0 Mark

Correct Answer: An equivalence relation
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